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DY: Fachverband Dynamik und Statistische Physik

DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics

DY 57.4: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1C

Many-body Invariants for One-Dimensional Gapped Fermions with Anti-Unitary Symmetry — •Lorenz Mayer and Martin R. Zirnbauer — Universität zu Köln, Institut für theoretische Physik

Following a proposal by S. Ryu, an invariant of ground states of topological insulators and superconductors will be defined and subsequently calculated for fermionic matrix product states (fMPS). This invariant is expressed in terms of the many-body wave-function.

As the calculation rests only on very coarse features of the formalism, this thus is suitable to tighten classification results obtained within the formalism of fMPS, which are of a more algebraic nature.